This paper presents a generalization of the classical compartmental models using the concept of "pipes" between the compartments and taking into account the time needed for the material to pass through these pipes. A general linear delay differential system describing such models is derived and some properties of its solutions-such as nonnegativity, boundedness, stability-are established. For stationary and asymptotically stationary systems the asymptotic solution is obtained, too. The theory presented generalizes several earlier results concerning more special equations.
ASJC Scopus subject areas
- Statistics and Probability
- Modelling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics